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Simplifying 8c2 + -1c + 3 + 2c2 + -1c + 2 = 0 Reorder the terms: 3 + 2 + -1c + -1c + 8c2 + 2c2 = 0 Combine like terms: 3 + 2 = 5 5 + -1c + -1c + 8c2 + 2c2 = 0 Combine like terms: -1c + -1c = -2c 5 + -2c + 8c2 + 2c2 = 0 Combine like terms: 8c2 + 2c2 = 10c2 5 + -2c + 10c2 = 0 Solving 5 + -2c + 10c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.5 + -0.2c + c2 = 0.0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.2c + -0.5 + c2 = 0.0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.2c + c2 = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.2c + c2 = 0.0 + -0.5 -0.2c + c2 = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 -0.2c + c2 = -0.5 The c term is -0.2c. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2c + 0.01 + c2 = -0.5 + 0.01 Reorder the terms: 0.01 + -0.2c + c2 = -0.5 + 0.01 Combine like terms: -0.5 + 0.01 = -0.49 0.01 + -0.2c + c2 = -0.49 Factor a perfect square on the left side: (c + -0.1)(c + -0.1) = -0.49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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